108564480 has 312 divisors, whose sum is σ = 408894720. Its totient is φ = 26542080.

The previous prime is 108564473. The next prime is 108564481. The reversal of 108564480 is 84465801.

108564480 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 644 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108564481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3502065 + ... + 3502095.

It is an arithmetic number, because the mean of its divisors is an integer number (1310560).

Almost surely, 2^108564480 is an apocalyptic number.

108564480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204447360).

108564480 is an abundant number, since it is smaller than the sum of its proper divisors (300330240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

108564480 is a wasteful number, since it uses less digits than its factorization.

108564480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 108564480 is about 10419.4280073332. The cubic root of 108564480 is about 477.0485558999.

The spelling of 108564480 in words is "one hundred eight million, five hundred sixty-four thousand, four hundred eighty".